Sliding Mode Control for a Class of Nonlinear Singular Systems With Partly Immeasurable Premise Variables

This paper investigates the problem of sliding mode controller design for a class of T–S fuzzy singular systems (TSFSSs) with partly immeasurable premise variables. By analyzing the different cases of immeasurable premise variables, novel state-feedback, and static output-feedback-based sliding mode controllers design methods are first developed. The information of measurable premise variables in TSFSS is utilized to design the controllers. Attention is focused on solving the problem of sliding mode controllers design for TSFSS with immeasurable premise variables related to time and system states. Further, based on the new sliding mode control (SMC) methods, some new convex conditions for designing sliding mode controllers are proposed. It is shown that the proposed sliding mode controllers design approaches have the advantage over existing SMC methods to stabilize the TSFSS with immeasurable premise variables. Finally, two simulation results are given to verify the feasibility and effectiveness of the proposed methods.